I've seen people using canned air to dry. I don't think a hair dryer would be a problem. I don't do really dry. I blot up all the water I can and the first few hits might be mostly steam but it's fine after that.
This is NOT a recommendation but tonight I user a denture cleaner disc in water to clean a single coil T3 tank. (15 mins) Then rinsed with water and dried with hair dryer. I was in a hurry to try a new juice. Worked like a charm. I am thinking this would not be a good idea with the wicks in a double coil iClear 30. BTW, I hated the juice ( lemon), just not for me!